Morse Theory and Floer Homology
This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories
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Michèle Audin Mihai Damian
Morse Theory and Floer Homology Translated by Reinie Erné
Universitext
Universitext Series Editors: Sheldon Axler San Francisco State University, San Francisco, CA, USA Vincenzo Capasso Università degli Studi di Milano, Milan, Italy Carles Casacuberta Universitat de Barcelona, Barcelona, Spain Angus MacIntyre Queen Mary University of London, London, UK Kenneth Ribet University of California, Berkeley, Berkeley, CA, USA Claude Sabbah CNRS, École Polytechnique, Palaiseau, France Endre Süli University of Oxford, Oxford, UK Wojbor A. Woyczynski Case Western Reserve University, Cleveland, OH, USA
Universitext is a series of textbooks that presents material from a wide variety of mathematical disciplines at master’s level and beyond. The books, often well class-tested by their author, may have an informal, personal, even experimental approach to their subject matter. Some of the most successful and established books in the series have evolved through several editions, always following the evolution of teaching curricula, into very polished texts. Thus as research topics trickle down into graduate-level teaching, first textbooks written for new, cutting-edge courses may make their way into Universitext.
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Michèle Audin r Mihai Damian
Morse Theory and Floer Homology
Translated by Reinie Erné
Michèle Audin IRMA Université Louis Pasteur Strasbourg Cedex, France
Mihai Damian IRMA Université Louis Pasteur Strasbourg Cedex, France
Translation from the French language edition: Théorie de Morse et homologie de Floer by Michèle Audin and Mihai Damian EDP Sciences ISBN 978-2-7598-0704-8 Copyright © 2010 EDP Sciences, CNRS Editions, France. http://www.edpsciences.org/ http://www.cnrseditions.fr/ All rights reserved ISSN 0172-5939 e-ISSN 2191-6675 Universitext ISBN 978-1-4471-5495-2 e-ISBN 978-1-4471-5496-9 DOI 10.1007/978-1-4471-5496-9 Springer London Heidelberg New York Dordrecht Library of Congress Control Number: 2013955874 Mathematics Subject Classification: 53Dxx, 57R17, 53D40, 57R58 © Springer-Verlag London 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Per
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